Least Common Multiple of 41/14, 42/46, 896/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/14, 42/46, 896/260 quickly i.e. 55104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/14, 42/46, 896/260 is 55104.

LCM(41/14, 42/46, 896/260) = 55104

LCM of 41/14, 42/46, 896/260

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 41/14,42/46,896/260

Given numbers are 41/14,42/46,896/260

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 41,42,896

Least Common Multiple of Numerators i.e. LCM of 41,42,896 is 110208.

GCF of Denominators means GCF of 14,46,260 as per the given fractions.

GCF of 14,46,260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,42,896

LCM of Fractions 41/14,42/46,896/260 is 55104

2 41, 42, 896
7 41, 21, 448
41, 3, 64

∴ So the LCM of the given numbers is 2 x 7 x 41 x 3 x 64 = 110208

Least Common Multiple of 41,42,896 with GCF Formula

Least Common Multiple of 41,42,896 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 41,42,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,42,896) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(41,42,896) x common factors =1 x 14 = 14

LCM(41,42,896) = ( 41 × 42 × 896 ) / 14

LCM(41,42,896) = 1542912 / 14

LCM(41,42,896) = 110208


Lets's calculate GCF of 14,46,260

2 14, 46, 260
7, 23, 130

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110208/2

Therefore the LCM of Fractions 41/14,42/46,896/260 is 55104

Greatest Common Factor of 14,46,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,46,260 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 14,46,260 . The biggest common factor number is the GCF number.
So the greatest common factor 14,46,260 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 41/14, 42/46, 896/260

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 41/14, 42/46, 896/260?

Answer: LCM of Numerators as per given numbers 41/14, 42/46, 896/260 is

LCM of Numerators i.e. for 41,42,896 is 110208

GCF of denominators i.e. for 14,46,260 is 2.

Thus, LCM of Fractions is 55104.Finally, LCM of Fractions for 41/14, 42/46, 896/260 is 55104.